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Finding the Fourth Proportional to 57,477.60, 85,708.80 and 50,486.22

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Solution

The fourth proportional to 57,477.60, 85,708.80 and 50,486.22 is: 75,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477.60 : 85,708.80 = 50,486.22 : x
  2. Step 2: Convert to fraction form
    57,477.60/85,708.80 = 50,486.22/x
  3. Step 3: Cross multiply
    57,477.60x = 85,708.80 × 50,486.22
  4. Step 4: Simplify right side
    57,477.60x = 4,327,113,332.74
  5. Step 5: Solve for x
    x = 4,327,113,332.74/57,477.60
  6. Step 6: Final answer
    x = 75,283.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.